How much will you spend on an investment if you want to receive $7,000 at an annual rate of 6% compounded weekly in 4 years?
Answer:
The investment required is: $5687
Step-by-step explanation:
Future Amount A= $7000
Rate r = 6% =0.06
Time t = 4
Compounded Weekly = n= 52
We need to find Principal Amount P
The formula used is: [tex]A=P(1+\frac{r}{n})^{n*t}[/tex]
Putting values and finding P
[tex]A=P(1+\frac{r}{n})^{n*t}\\7000=P(1+\frac{0.06}{52})^{4*52}\\7000=P(1.001)^{208}\\7000=P(1.231)\\P=\frac{7000}{1.231} \\P=5687[/tex]
So, The investment required is: $5687
- A picture frame is 12 inches long and 9 inches wide. In inches, what is the diagonal length of
the picture frame?
O 21 inches
O 15 inches
8 inches
06 inches
A triangle is formed with side lengths of 5 inches, 12 inches, and 15 inches. Is the triangle a right triangle?
Answer:
the triangle is not a right angle
Step-by-step explanation:
5²+12²=169
15²=225
The given triangle is not right angle triangle, because the given information of the triangle does not hold the Pythagoras theorem.
What are Pythagorean triplets?In a right-angled triangle, its side, such as hypotenuse, perpendicular and base is Pythagorean triplets.
Here,
A triangle is formed with side lengths of 5 inches, 12 inches, and 15 inches.
Verifying whether it is right angle or not,
Hypotenuse = 15
perpendicular = 12
Base = 5
Now,
Pythagoras' theorem is given as,
h² = p² + b²
15² = 12² + 5²
225 ≠ 169
Thus, the given triangle is not right angle triangle, because the given information of the triangle does not hold the Pythagoras theorem.
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a car travels from point s at (-5,7) to point t at (-5,-1). if each unit represents 20 miles, how long will it take the car to travel this distance, traveling at 40 miles per hour?
Answer:
The value is [tex]t = 4 \ hours[/tex]
Step-by-step explanation:
From the question we are told that
The initial position of the car is [tex]x_i , y_i = (-5,7)[/tex]
The final position of the car is [tex]x_f , y_f = (-5,-1)[/tex]
The speed of the car is [tex]v = 40 \ miles / hour[/tex]
Generally the distance covered by the car along the x-axis is
[tex]x = -5 - [- 5][/tex]
=> [tex]x = 0[/tex]
Generally the distance covered along the y-axis is
[tex]y = y_i - y_f[/tex]
=>[tex]y = y_i - [-1][/tex]
=> [tex]y = 8[/tex]
Generally the resultant distance covered is
[tex]R = \sqrt{x^2 + y^2}[/tex]
=> [tex]R = \sqrt{0^2 + 8^2}[/tex]
=> [tex]R = 8[/tex]
From the question we are told that 1 unit of the distance covered is 20 miles so
8 units is
[tex]r = 8 *20[/tex]
=> [tex]r =160 \ miles[/tex]
Generally the time taken is mathematically represented as
[tex]t = \frac{r}{v}[/tex]
=> [tex]t = \frac{160}{ 40}[/tex]
=> [tex]t = 4 \ hours[/tex]
Which three-dimensional figure has half the number of vertices as the rectangular prism?
hexagonal prism
rectangular pyramid
triangular prism
triangular pyramid
Answer:Triangular pyramid (tetrahedron) has 4 vertices
Step-by-step explanation:
Answer:
its d i just got 100%Step-by-step explanation:
Which model represents 1/3
Please hurry please
Answer:
a = -10
Step-by-step explanation:
solving inequation : a [tex]\leq[/tex] -6.5 so a = -10 complies
Answer:
a=-10
Step-by-step explanation:
[tex]2a-7\leq -20\\2a\leq -13\\a\leq -6.5\\[/tex]
The only solution that fits this is a=-10
Cual es el resultado de la división 1771.2 entre 48
Responder: 36.9
explicación paso a paso:
1771.2 / 48 = 36.9
Pls help me I’m really dumb
The price of two dozen candy bars is $4.80. Bridget wants to buy 5 candy bars. what will she have to pay?
Answer:
24
Step-by-step explanation:
4.8×5 you have 5 candy bars that are $4.80 each so you multiply that by 5.
Help???
Anyone?
Thank you
25% of $35 is 8.75, so the price would be $26.25. plus tax, the final price would be $27.825 or $27.83. if that doesn't work, try $27.82
(i was wrong before, this should be right now)
hope this helps!! :)
If x6 as 3:9, then x is equal to?
Answer:
2,33
Step-by-step explanation:
because if you multiply 3 + 9 you,ve got 27 besides 6
Evaluate.
8−2⋅3+7
PLZ PLZ HURRY
Answer:
9
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition SubtractionStep-by-step explanation:
Step 1: Define expression
8 - 2 · 3 + 7
Step 2: Evaluate
Multiply: 8 - 6 + 7Subtract: 2 + 7Add: 92/3 times 8
Please answer quick
Answer:
16/3 or 5 1/3
Step-by-step explanation:
Answer:
2/3x8= 2/3x1/8= 6/8 if u simplifie it, it would be 3/4.
=3/4
For the cube shown, AD and HG are?
Parrallel lines
Oblique lines
Skew lines
Perpendicular lines
Answer:
Parallel lines
Step-by-step explanation:
g(x) = x2 + 5; 9(-6) how to evaluate the function for the given value
Answer:
9×−6
Thats the answer put that Promise can I get brainliest just click on my profile then go back and youĺl see a crown and click it on my name
Step-by-step explanation:
how do you identify rational expression?
Answer:
Step-by-step explanation:
Determine the domain. The excluded values are those values for the variable that result in the expression having a denominator of 0.
Factor the numerator and denominator.
Find common factors for the numerator and denominator and simplify.
The lowest temperature ever recorded on Earth was
-89.2°C in Antarctica. The highest temperature ever
recorded was 56.7°C in California. What is the
difference between the highest and lowest recorded
temperatures?
PLEASE ANSWERRRRR
Answer:
Highest temperature=56.7°C
Lowest temperature= -89.2°C
Difference between the temperatures = 89.2+56.7=145.9
Wirth 20 points (02.02)A shape is shown on the graph:
Which of the following is a reflection of the shape?
A coordinate plane is shown. A triangle has vertices negative 2 comma negative 1, negative 3 comma negative 3, and negative 1 comma negative 3.
A coordinate plane is shown. A triangle has vertices 1 comma 1, 0 comma negative 1, and 2 comma negative 1.
A coordinate plane is shown. A triangle has vertices negative 3 comma negative 1, negative 2 comma negative 3, and negative 1 comma negative 1.
A coordinate plane is shown. A triangle has vertices negative 3 comma negative 1, negative 3 comma negative 3, and negative 1 comma negative 2.
Answer:
b
Step-by-step explanation:
The reflection of the dots marked is on the opposite side at the same numbers and lines but with a different sign in front of the number.
Answer: b
Step-by-step explanation:
The reflection of the dots marked is on the opposite side at the same numbers and lines but with a different sign in front of the number.
2 ÷ 1/2 what is the answer
Answer:
2 ÷ 1/2 is 4
Step-by-step explanation:
Solve for X to the nearest tenth
Answer:
Step-by-step explanation:
[tex]\frac{x}{14}[/tex] = cos32°
x = 14cos32° ≈ 11.9
What is the radius of a circle whose equation is (x + 5)2 + (y - 3)2 = 42?
O 2 units
Ο Ο Ο
4 units
8 units
16 units
Answer:
The radius of the circle is:
[tex]r=4[/tex] unitsStep-by-step explanation:
Given the equation
[tex]\left(x\:+\:5\right)^2\:+\:\left(y\:-\:3\right)^2=\:42[/tex]
As we know that
[tex]\left(x\:-\:a\right)^2\:+\:\left(y\:-\:b\right)^2=\:r^2\:[/tex]
is the equation of the circle with a radius 'r', centered at (a, b)
[tex]\mathrm{Rewrite}\:\left(x+5\right)^2+\left(y-3\right)^2=4^2\:\mathrm{in\:the\:form\:of\:the\:standard\:circle\:equation}[/tex]
so, the circle properties are:
[tex]\left(x-\left(-5\right)\right)^2+\left(y-3\right)^2=4^2[/tex]
Therefore, the radius of the circle is:
[tex]r=4[/tex] units
Kaley and Tom both work at Publix as cashiers for $7.68 per hour. This week Kaley worked 5 more hours than Tom in overtime. Choose all the expressions that represents the weeks' wages for Kaley if h represents the number of hours Tom worked.
Answer:
X=5+h
Step-by-step explanation:
What is the range of the function y=e4x?
Oy < 0
Oy>
O y<4
Oy>4
9514 1404 393
Answer:
y > 0
Step-by-step explanation:
The range of the function ...
y = e^(4x)
is the same as the range of any exponential function:
y > 0
The function can take on any positive value, but will never be 0 or negative. It has a horizontal asymptote of y=0.
The range of the given function is y > 0.
What is Function?A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.
Given function is,
y = e⁴ˣ
This is an exponential function.
The range of any exponential function is all the real numbers which are greater than 0.
So here also, the range is all the real numbers which are greater than 0.
So range is y > 0.
Hence the correct option is B.
Learn more about Exponential Functions here :
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34.48 17.065 to the nearest tenth sorry just trying to get work done but yea if u help thx!!
Answer:
34.5
17.1
Step-by-step explanation:
The temperature right now is -3°F, and the forecasted high temperature is 2 °F. How many degrees will it have to warm to reach 2°F? 6.NS.5
Answer:
5
Step-by-step explanation:
Subtract the high temp from the low temp2 - ( -3) = 2 + 3 = 5From Monday - Tuesday, Adam earns $122 dollars. If he continues to earn the same amount for the rest of the week, how much will he have at the end?
Answer:
$437
Step-by-step explanation:
There are 7 days in a week.
Let's stop at the last even number, the 6th day.
Tuesday is four days away from Sunday, so multiply 122 by 3.
[tex]\mathrm{122}[/tex] × [tex]3[/tex] = [tex]366[/tex]
Finally, we are at the 7th day. There is no 8th day in a week, so divide 122 by 2.
[tex]122[/tex] ÷ [tex]2[/tex] [tex]=61[/tex]
Now, let's add 61 to 366. We get $437, and that is our answer.
Hope this helps!
can someone please help try the best that you can
Does somebody know the answer to this question I’m lost
Answer:
81b + 4 - 14/3b
Step-by-step explanation:
divide by 3b, u can leave the fraction in there
I give brainiest Martin decided to buy 3 bags of grapes weighing 4 1 5 pounds each. How much did all 3 bags of grapes weigh? 1 and one-fifth 7 and one-fifth 12 and one-fifth 12 and three-fifths
Answer:
12 3/5
Step-by-step explanation:
Answer:
12 3/5 can i have brainlist??